Base | Representation |
---|---|
bin | 100010010011… |
… | …0001010110100 |
3 | 1020211120211220 |
4 | 1010212022310 |
5 | 14100412012 |
6 | 1441230340 |
7 | 305563020 |
oct | 104461264 |
9 | 36746756 |
10 | 17982132 |
11 | a172273 |
12 | 60323b0 |
13 | 3957b1c |
14 | 2561380 |
15 | 18a308c |
hex | 11262b4 |
17982132 has 72 divisors (see below), whose sum is σ = 50694336. Its totient is φ = 4859136.
The previous prime is 17982119. The next prime is 17982143. The reversal of 17982132 is 23128971.
It is a junction number, because it is equal to n+sod(n) for n = 17982093 and 17982102.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30028 + ... + 30620.
It is an arithmetic number, because the mean of its divisors is an integer number (704088).
Almost surely, 217982132 is an apocalyptic number.
17982132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 17982132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25347168).
17982132 is an abundant number, since it is smaller than the sum of its proper divisors (32712204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
17982132 is a wasteful number, since it uses less digits than its factorization.
17982132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 645 (or 624 counting only the distinct ones).
The product of its digits is 6048, while the sum is 33.
The square root of 17982132 is about 4240.5344002849. The cubic root of 17982132 is about 261.9873932904.
The spelling of 17982132 in words is "seventeen million, nine hundred eighty-two thousand, one hundred thirty-two".
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